10200010021009 has 2 divisors, whose sum is σ = 10200010021010. Its totient is φ = 10200010021008.

The previous prime is 10200010020997. The next prime is 10200010021037. The reversal of 10200010021009 is 90012001000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10191928550400 + 8081470609 = 3192480^2 + 89897^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200010021009 - 2⁷ = 10200010020881 is a prime.

It is a super-3 number, since 3×10200010021009³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200010020983 and 10200010021001.

It is not a weakly prime, because it can be changed into another prime (10200010021049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100005010504 + 5100005010505.

It is an arithmetic number, because the mean of its divisors is an integer number (5100005010505).

Almost surely, 2^{10200010021009} is an apocalyptic number.

It is an amenable number.

10200010021009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200010021009 is an equidigital number, since it uses as much as digits as its factorization.

10200010021009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 10200010021009 in words is "ten trillion, two hundred billion, ten million, twenty-one thousand, nine".